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Finding the Fourth Proportional to 378,797.92, 522,830.60 and 217,746.40

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Solution

The fourth proportional to 378,797.92, 522,830.60 and 217,746.40 is: 300,541.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,797.92 : 522,830.60 = 217,746.40 : x
  2. Step 2: Convert to fraction form
    378,797.92/522,830.60 = 217,746.40/x
  3. Step 3: Cross multiply
    378,797.92x = 522,830.60 × 217,746.40
  4. Step 4: Simplify right side
    378,797.92x = 113,844,480,959.84
  5. Step 5: Solve for x
    x = 113,844,480,959.84/378,797.92
  6. Step 6: Final answer
    x = 300,541.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.